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Finding the Fourth Proportional to 8,576.49, 12,842.10 and 6,901.68

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Solution

The fourth proportional to 8,576.49, 12,842.10 and 6,901.68 is: 10,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.49 : 12,842.10 = 6,901.68 : x
  2. Step 2: Convert to fraction form
    8,576.49/12,842.10 = 6,901.68/x
  3. Step 3: Cross multiply
    8,576.49x = 12,842.10 × 6,901.68
  4. Step 4: Simplify right side
    8,576.49x = 88,632,064.73
  5. Step 5: Solve for x
    x = 88,632,064.73/8,576.49
  6. Step 6: Final answer
    x = 10,334.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.